Geometry and Inverse Optimality in Global Attitude Stabilization | Zendy

S. Bharadwaj | Zendy; M. Osipchuk | Zendy; Kenneth D. Mease | Zendy; F. C. Park | Zendy

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Geometry and Inverse Optimality in Global Attitude Stabilization

Author(s) -

S. Bharadwaj,

M. Osipchuk,

Kenneth D. Mease,

F. C. Park

Publication year - 1998

Publication title -

journal of guidance control and dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.573

H-Index - 143

eISSN - 1533-3884

pISSN - 0731-5090

DOI - 10.2514/2.4327

Subject(s) - control theory (sociology) , attitude control , spacecraft , lyapunov function , rigid body , torque , euler angles , computer science , mathematics , control (management) , physics , engineering , classical mechanics , control engineering , aerospace engineering , geometry , nonlinear system , quantum mechanics , thermodynamics , artificial intelligence

The problem of globally stabilizing the attitude of a rigid body is considered.Topological and geometric properties of the space of rotations relevant to thestabilization problem, are discussed. Chevalley's exponential coordinates for aLie group are used to represent points in this space. An appropriate attitudeerror is formulated and used for control design. A control Lyapunov functionapproach is used to design globally stabilizing feedbacklaws that have desirableoptimality...

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